Question

Which is the product of į and 6?O A. 1 1 /O B. 37Ос.O c. 43C.O D. 78

Answer 1

To calculate the product of a fration and a number, we first need to remeber that any number can be written as a fraction by putting 1 into the denominator:

$6=\frac{6}{1}$

Now, to make a multiplication of two fractions, we multiply the numerators and the denominators:

$\frac{7}{9}\cdot6=\frac{7}{9}\cdot\frac{6}{1}=\frac{7\cdot6}{9\cdot1}=\frac{42}{9}$

This fraction can be simplifies first by dividing both the numerator and the denominator by 3:

$\frac{42}{9}=\frac{14}{3}$

Now, we can write the fraction as a mixed number by checking how many times 3 fits in 14.

4 times 3 is 12, so we can rewrite the fraction as:

$\frac{14}{3}=\frac{12+2}{3}=4\frac{2}{3}$

So, this corresponds to alternative C.